if X is poisson random variable with A=2 then E(x+4) 3D O none 6. 0 4 0 5 O 2 O O O 0 0

Q: 2. The discrete random variable X has the probability function kx, x = 2,4, 6 P(X = x) = - 2), x = 8…

A: From the given information, it is clear that,  The discrete random variable X has a probability…

Q: 1. Let X and Y are independent uniform random variables supported on [0, 1]. Find the proba- bility…

A:

Q: (b) Let a discrete random variable X have the following PMF: p(x) = k (=) , for x = 1,2, . ..; 0,…

A: Basic probability

Q: If a random variable X is defined such that: E[(X – 2)²] = 18 and E[(X+1)²] = 33. Then the values of…

A: Given: E( (X - 2 ) 2 )= 18 E( (X + 1 ) 2 )= 33

Q: X and Y are two discrete random variables. If X and Y are negatively correlated, then: ož-y_ož + o3.…

A: It is given that the two discrete random variables are negatively correlated.

Q: Let X € {0, 1} and Y E {0, 1} be two independent binary random variables. If P(X = 0) = 0.3 and P(Y…

A: Given: P(X = 0) = 0.3 P (Y = 0) = 0.8 X and Y are independent

Q: If a random variable X is defined such that: E[(X - 3)2] = 18 and E[(X – 1)²] = 34. Then the values…

A:

Q: (b) Let X be a discrete random variable with the following PMF 0.2 for k = 0 0.2 for k = 1 Px(k):…

A: For a discrete random variable X, say, Y=g(X), if, Space of X={a1, a2,...} , space of…

Q: 1 Let X and Y be two discrete random variables with the following joint probability function xy 30…

A: Discrete Variable: A discreate variable is a variable whose values can be obtained by counting.…

Q: (1) Let X be a random variable with p.d.f. ke 2x f(x) ={ 0 <x<0 , then o.w (a) k=3 (b) k=2 (c) k =-…

A: Reviewing information, X is a r.v. with pdf, f(x)=k·e-2x                                   ;…

Q: If a random variable X is defined such that: E (X + 4) = 10 and E[(X + 4)²] = 112. Then the values…

A: The image is attached below,

Q: (1) Let X be a random variable with a function [3 |4 х! (3— х)! 1 x = 0,1, 2,3 f(x) = { then E(x) is…

A: Solution: 1. From the given information, the probability function of a random variable X is

Q: E(Y) –> P(Y > n).

A:

Q: If a random variable X is defined such that: E[(X - 3)2] = 18 and E[(X-1)²] = 34. Then the values of…

A:

Q: Question Suppose X, Y are two discrete random variables with probability function given by: YX-1 1/9…

A:

Q: If a discrete random variable X follows the following CDF: 05 <1 0.8 1<<2 0.2 F(z) = %3D 1 P(X-1)-:…

A: Solution:-

Q: 5. X and Y are two discrete random variables. If the covariance between X and Y is positive, then:…

A:

Q: Let X € {0, 1} and Y E {0,1} be two independent binary random variables. If P(X = 0) = 0.2 and P(Y =…

A: # Two independent binary random variable x and y such that p(x=0)=0.2 and p(y=0)=0.8 then to find…

Q: (iii) If X and Y are two discrete random variables, then E(X + Y) = E(X) + E(Y) provided E(X) and…

A:

Q: P(2< X < 5) IfX is a normal random variable with parameters H 3 and o2=9 find %3D 0.5 O 0.2 0.3779…

A: Given,Mean μ = 3Variance σ2 =9Standard deviation σ = 3

Q: If a random variable X is defined such that: E[(X- 3)2] = 18 and E[(X- 1)'] = 34. Then the values of…

A: answer is given below

Q: 3. The joint probability mass function of random variables X and Y is given below: 0.2 0.1 0.2 0.25…

A:

Q: If a random variable X is defined such that: E[(X – 3)²] = 18 and E[(X – 1)²] = 34. Then the values…

A:

Q: Example 8 : A random variable X gives measurements x between 0 and 1 with a 12x - 21x2 +10x, for 0…

A:

Q: 3. Let X and Y be two independent Poisson random variables with mean 2. Then |A|P[min{X, Y} ≤ 1] =…

A: Given X and Y be two independent random variables with mean 2. Than we have to find which of the…

Q: If a random variable X is defined such that: E[(X -3)]=18 and E((X+ 1)'] = 34. Then the values of u…

A:

Q: 1) Let the probability function of a discrete random variable X be 100) = {(²+²) (0.5) (05) 1-²,…

A: Solution

Q: If a random variable X is defined such that: E[(X – 3)²] = 18 and E[(X – 1)²] = 34. Then the values…

A: Given , E((X-3)2)= 18 So  E(X2+9-6X)= 18 E(X2)+9-6E(X)= 18 E(X2)-6E(X)= 9 .................(i) And…

Q: Let X1 and X2 be independent Poisson random variables with means A1 = 5 and A2 = 4. Obtain P[X1 %3D…

A: We have given that , Lamda1 = 5 , And Lamda2 = 4 , We need here P(x1+x2&lt;=0) = ?

Q: If a random variable X is defined such that: E[(X - 3)2] = 18 and E[(X- 1)2] = 34. Then the values…

A:

Q: For a discrete random variable X if : Points ) P ( X = x ) = 0.1x , x = 2 , 3 , 5 , then E ( X2 ) =

A:

Q: If x is a random variable such that x-b(1,2) then P(V ( x) <x<E (x ) )is? X

A:

Q: If a random variable X is defined such that: E[(X – 2)²] = 18 and E[(X+1)²] = 33. Then the values of…

A: The given equations are EX-22=18 and EX+12=33. Now,…

Q: (1) If a random variable X is a constant, i.e.., X =a then E[a]= a, where a is a constant.

A:

Q: If a random variable X is defined such that: E[(X – 2)²] = 18 and E[(X+1)²] = 33. Then the values of…

A:

Q: If a random variable X is defined such that: E[(X – 2)*] = 18 and E[(X +1)*] = 33. Then the values…

A:

Q: a.b.c

A: Standard normal distribution:The standard normal distribution is a special case of normal…

Q: 17 For a discrete random variable X if: * A (2 Points) P(X = x) = 0.Lx ,x = 2, 3, 5, then E (X²) = O…

A: INTRODUCTION  EXPECTATION :  The expected value of a discrete random variable is a weighted average…

Q: oblem-7 et X be a discrete random variable with the following PMF: for a = 0 %3D for x = 1 Px(x) =…

A: See the handwritten solution

Q: 17. If a random variable X assumes the values 0 and I with P(X= 0) = 3 P(X = 1), then %3D V(X) is :…

A:

Q: If a random variable X is defined such that: E[(X- 3)2] = 18 and E[(X-1)²] = 34. Then the values of…

A:

Q: If a random variable X is defined such that: E[(X - 3)2] = 18 and E[(X+1)²] = 34. Then the values of…

A: Variance(X)=E[(x-mu)2].

Q: If a random variable X is defined such that: E[(X - 2)²] = 18 and E[(X+ 1)'] = 33. Then the values…

A:

Q: (1) Let X be a random variable with p.d.f. ke 0<x<0 Sx) = ,then O.w (b) k - (e) k- (a) k-1 (c) k (d)…

A: According to our guidelines we can answer only first question and rest can be re posted.

Q: (ii) Find Gx(t) = E (tx) when X is a geometric random variable; i.e. for a {1,2,...} it is that P(X…

A:

Q: (1) Let X be a random variable with a function 3 1 x = 0,1, 2,3 4 x! (3—х)! f(x) =- , then E(x)is…

A:

Q: Question * Suppose X, Y are two discrete random variables with probability function given by: YX -1…

A:

Q: If a random variable X is defined such that: E[(X – 3)²] = 18 and E[(X+1)²] = 34. Then the values of…

A: The given expectations are EX-32=18 and EX+12=34. Now, EX2+9-6X=18EX2+E9-E6X=18EX2+9-6μ=18EX2-6μ=9…

Q: (3) Let X be a random variable with p.d.f. 2k I<x<10 3x f(x)=- , then o.w (b) - (d) k-2 k - (e) k -…

A:

Q: (1) Let X be a random variable with p.d.f. ke f(x) = { 0<x<00 , then O.w (b) k =? (c) k = (d) k=5…

A:

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.